Solve 20div9=-1div3(x+2div3)

$$20 \div 9=-1 \div 3(x+2 \div 3)$$

Solve for x

$$x = -\frac{22}{3} = -7\frac{1}{3} \approx -7.333333333$$

Steps for Solving Linear Equation

Fraction \frac{-1}{3} can be rewritten as -\frac{1}{3} by extracting the negative sign.

$$\frac{20}{9}=-\frac{1}{3}\left(x+\frac{2}{3}\right)$$

Use the distributive property to multiply -\frac{1}{3} by x+\frac{2}{3}.

$$\frac{20}{9}=-\frac{1}{3}x-\frac{1}{3}\times \frac{2}{3}$$

Multiply -\frac{1}{3} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{20}{9}=-\frac{1}{3}x+\frac{-2}{3\times 3}$$

Do the multiplications in the fraction \frac{-2}{3\times 3}.

$$\frac{20}{9}=-\frac{1}{3}x+\frac{-2}{9}$$

Fraction \frac{-2}{9} can be rewritten as -\frac{2}{9} by extracting the negative sign.

$$\frac{20}{9}=-\frac{1}{3}x-\frac{2}{9}$$

Swap sides so that all variable terms are on the left hand side.

$$-\frac{1}{3}x-\frac{2}{9}=\frac{20}{9}$$

Add \frac{2}{9} to both sides.

$$-\frac{1}{3}x=\frac{20}{9}+\frac{2}{9}$$

Since \frac{20}{9} and \frac{2}{9} have the same denominator, add them by adding their numerators.

$$-\frac{1}{3}x=\frac{20+2}{9}$$

Add 20 and 2 to get 22.

$$-\frac{1}{3}x=\frac{22}{9}$$

Multiply both sides by -3, the reciprocal of -\frac{1}{3}.

$$x=\frac{22}{9}\left(-3\right)$$

Express \frac{22}{9}\left(-3\right) as a single fraction.

$$x=\frac{22\left(-3\right)}{9}$$

Multiply 22 and -3 to get -66.

$$x=\frac{-66}{9}$$

Reduce the fraction \frac{-66}{9} to lowest terms by extracting and canceling out 3.

$$x=-\frac{22}{3}$$